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Finding the Third Proportional to 88,167.75 and 123,889

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Solution

The third proportional to 88,167.75 and 123,889 is: 174,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,167.75 : 123,889 = 123,889 : x
  2. Step 2: Convert to fraction form
    88,167.75/123,889 = 123,889/x
  3. Step 3: Cross multiply
    88,167.75x = 123,889 × 123,889
  4. Step 4: Simplify right side
    88,167.75x = 15,348,484,321
  5. Step 5: Solve for x
    x = 15,348,484,321/88,167.75
  6. Step 6: Final answer
    x = 174,082.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.